Flow and heat transfer over hyperbolic stretching sheets

Ahmad, Adeel; Asghar, S.

doi:10.1007/s10483-012-1562-6

Cited by 15 publications

(4 citation statements)

References 19 publications

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“…The non dimensional variables are given as: , 𝛾 = 𝑘 1 𝐿𝑒 𝑎 (8) Using Eqs ( 6), ( 7) and ( 8), the governing Eqs. (1−4) reduced to the form.…”

Section: Fig 1 Physical Configuration Of the Modelmentioning

confidence: 99%

“…Several industrial and technical operations in the fields of metallurgy and chemical engineering are affected by heat transport phenomena in a laminar boundary layer flow across a stretching sheet. Numerous researchers have examined the flow past a stretching surface with various stretching velocities, including linear, exponential, quadratic, hyperbolic, radially, and even oscillatory [7][8][9]. However, there are only a few studies on the transfer of heat and mass in laminar boundary layer flow through a nonlinear stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

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Magnetohydrodynamic Nonlinear Radiative Heat and Mass Transfer Flow of Sisko Nanofluid through a Nonlinear Stretching Sheet in The Presence of Chemical Reaction

Ebiwareme,

Esekhaigbe,

Bunonyo

et al. 2023

JAMCS

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The problem of heat and mass transfer of Sisko nanofluid flowing through a nonlinear stretching sheet under the influence of chemical reaction, heat source, magnetohydrodynamics, and thermal radiation is examined in this study. The controlling model equations are rendered dimensionless, and the resulting set of nonlinear ordinary differential equations are solved utilizing the shooting technique for the nondimensional velocity, temperature, and concentration profiles, along with Runge-Kutta-Fehlberg's method of fourth order. Using symbolic software MAPLE, the properties of numerous relevant parameters, including the chemical reaction parameter, Lewis number, thermophoresis parameter, Brownian motion parameter, Biot number, material parameter of the Sisko fluid, magnetic field parameter, power law index, radiation parameter and generalized Prandtl number are presented graphically and quantitatively discussed. Further, the local Sherwood number and the local Nusselt numbers are calculated, presented in the table, and compared with existing literature. The results of our investigation show that the Sisko fluid's material properties increase the velocity profile, while increase in magnetic field and chemical reaction decrease it. In the same vein, the temperature distribution of the fluid decreases with increasing magnetic field, Biot number, thermophoresis parameter, and Lewis number, but increases when chemical reaction occurs. Concentration profiles are augmented by positive increases in the magnetic field and Brownian motion, but they plunge with increases in Lewis numbers, Biot numbers, chemical reactions, and thermophoresis parameters.

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“…The non dimensional variables are given as: , 𝛾 = 𝑘 1 𝐿𝑒 𝑎 (8) Using Eqs ( 6), ( 7) and ( 8), the governing Eqs. (1−4) reduced to the form.…”

Section: Fig 1 Physical Configuration Of the Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Nonlinear Radiative Heat and Mass Transfer Flow of Sisko Nanofluid through a Nonlinear Stretching Sheet in The Presence of Chemical Reaction

Ebiwareme,

Esekhaigbe,

Bunonyo

et al. 2023

JAMCS

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“…It was pointed out that the boundary layer grows for a curved sheet as compared to a flat one. Ahmad and Asghar (2012) obtained the analytical and numerical solutions for the boundary layer flow and heat transfer of an incompressible viscous fluid over a hyperbolic stretching sheet. The boundary layer flow and heat transfer of a viscous fluid over a curved surface were scrutinized by Abbas et al (2013) under the influence of a uniform applied magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Numerically framing the impact of magnetic field on nanofluid flow over a curved stretching surface with convective heating

Das

Ali

Jana

2021

WJE

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Purpose Outstanding features such as thermal conductivity and superior electrical conductivity of nanofluids unfold a new window in the context of their extensive applications in engineering and industrial domains. The purpose of this study to simulate numerically the magneto-nanofluid flow and heat transfer over a curved stretching surface. Heat transport is explored in the presence of viscous dissipation. At the curved surface, the convective boundary condition is adopted. Three different nanoparticles, namely, copper, aluminium oxide and titanium dioxide are taken into consideration because of easily available in nature. Design/methodology/approach The basic flow equations are framed in terms of curvilinear coordinates. The modelled partial differential equations are transformed into a system of non-linear ordinary differential equations by means of appropriate similarity transformation. The subsequent non-linear system of equations is then solved numerically by using the Runge–Kutta–Felhberg method with the shooting scheme via bvp4c MATLAB built-in function. Impacts of various physical parameters on velocity, pressure and temperature distributions, local skin-friction coefficient, local Nusselt number and wall temperature are portrayed through graphs and tables followed by a comprehensive debate and physical interpretation. Findings Graphical results divulge that augmenting values of the magnetic parameter cause a decline in velocity profiles and stream function inside the boundary layer. The magnitude of the pressure function inside the boundary layer reduces for higher estimation of curvature parameter, and it is also zero when the curvature parameter goes to infinity. Furthermore, the temperature is observed in a rising trend with growing values of the magnetic parameter and Biot number. Practical implications This research study is very pertinent to the expulsion of polymer sheet and photographic films, metallurgical industry, electrically-conducting polymer dynamics, magnetic material processing, rubber and polymer sheet processing, continuous casting of metals, fibre spinning, glass blowing and fibre, wire and fibre covering and sustenance stuff preparing, etc. Originality/value Despite the huge amount of literature available, but still, very little attention is given to simulate the flow configuration due to the curved stretching surface with the convective boundary condition. Very few papers have been examined on this topic and found that its essence inside the boundary layer is not any more insignificant than on account of a stretching sheet. A numerical comparison with the published works is conducted to verify the accuracy of the present study.

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“…Modeling the real processes is thus undertaken with the help of different stretching velocities and surface temperature distributions. These are linear, [8] polynomial, [9][10][11] exponential [12] and hyperbolic [13] stretching velocities.…”

Section: Introductionmentioning

confidence: 99%

Flow and heat transfer of a nanofluid over a hyperbolically stretching sheet

Ahmad¹,

Asghar²,

Alsaedi³

2014

Chinese Phys. B

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This article explores the boundary layer flow and heat transfer of a viscous nanofluid bounded by a hyperbolically stretching sheet. Effects of Brownian and thermophoretic diffusions on heat transfer and concentration of nanoparticles are given due attention. The resulting nonlinear problems are computed for analytic and numerical solutions. The effects of Brownian motion and thermophoretic property are found to increase the temperature of the medium and reduce the heat transfer rate. The thermophoretic property thus enriches the concentration while the Brownian motion reduces the concentration of the nanoparticles in the fluid. Opposite effects of these properties are observed on the Sherwood number.

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Flow and heat transfer over hyperbolic stretching sheets

Cited by 15 publications

References 19 publications

Magnetohydrodynamic Nonlinear Radiative Heat and Mass Transfer Flow of Sisko Nanofluid through a Nonlinear Stretching Sheet in The Presence of Chemical Reaction

Magnetohydrodynamic Nonlinear Radiative Heat and Mass Transfer Flow of Sisko Nanofluid through a Nonlinear Stretching Sheet in The Presence of Chemical Reaction

Numerically framing the impact of magnetic field on nanofluid flow over a curved stretching surface with convective heating

Flow and heat transfer of a nanofluid over a hyperbolically stretching sheet

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